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Modeling and Stability Analysis of a Single-Phase Two-Stage Grid-Connected Photovoltaic System

Author

Listed:
  • Liying Huang

    (School of Electric Power Engineering, South China University of Technology, Guangzhou 510641, China)

  • Dongyuan Qiu

    (School of Electric Power Engineering, South China University of Technology, Guangzhou 510641, China)

  • Fan Xie

    (School of Electric Power Engineering, South China University of Technology, Guangzhou 510641, China)

  • Yanfeng Chen

    (School of Electric Power Engineering, South China University of Technology, Guangzhou 510641, China)

  • Bo Zhang

    (School of Electric Power Engineering, South China University of Technology, Guangzhou 510641, China)

Abstract

The stability issue of a single-phase two-stage grid-connected photovoltaic system is complicated due to the nonlinear v - i characteristic of the photovoltaic array as well as the interaction between power converters. Besides, even though linear system theory is widely used in stability analysis of balanced three-phase systems, the application of the same theory to single-phase systems meets serious challenges, since single-phase systems cannot be transformed into linear time-invariant systems simply using Park transformation as balanced three-phase systems. In this paper, (1) the integrated mathematical model of a single-phase two-stage grid-connected photovoltaic system is established, in which both DC-DC converter and DC-AC converter are included also the characteristic of the PV array is considered; (2) an observer-pattern modeling method is used to eliminate the time-varying variables; and (3) the stability of the system is studied using eigenvalue sensitivity and eigenvalue loci plots. Finally, simulation results are given to validate the proposed model and stability analysis.

Suggested Citation

  • Liying Huang & Dongyuan Qiu & Fan Xie & Yanfeng Chen & Bo Zhang, 2017. "Modeling and Stability Analysis of a Single-Phase Two-Stage Grid-Connected Photovoltaic System," Energies, MDPI, vol. 10(12), pages 1-14, December.
    • Handle: RePEc:gam:jeners:v:10:y:2017:i:12:p:2176-:d:123595
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    References listed on IDEAS

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    4. Xiaofei Li & Chunsen Tang & Xin Dai & Aiguo Patrick Hu & Sing Kiong Nguang, 2017. "Bifurcation Phenomena Studies of a Voltage Controlled Buck-Inverter Cascade System," Energies, MDPI, vol. 10(5), pages 1-13, May.
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    Cited by:

    1. Wilfried van Sark, 2019. "Photovoltaic System Design and Performance," Energies, MDPI, vol. 12(10), pages 1-6, May.
    2. Fan Xie & Zhenxiong Luo & Dongyuan Qiu & Bo Zhang & Yanfeng Chen & Liying Huang, 2019. "Study on a Simplified Structure of a Two-Stage Grid-Connected Photovoltaic System for Parameter Design Optimization," Energies, MDPI, vol. 12(11), pages 1-16, June.
    3. Luís F. N. Lourenço & Renato M. Monaro & Maurício B. C. Salles & José R. Cardoso & Loïc Quéval, 2018. "Evaluation of the Reactive Power Support Capability and Associated Technical Costs of Photovoltaic Farms’ Operation," Energies, MDPI, vol. 11(6), pages 1-19, June.
    4. Mi Dong & Xiaoyu Tian & Li Li & Dongran Song & Lina Wang & Miao Zhao, 2018. "Model-Based Current Sharing Approach for DCM Interleaved Flyback Micro-Inverter," Energies, MDPI, vol. 11(7), pages 1-21, June.
    5. Abdelali El Aroudi & Mohamed Al-Numay & Germain Garcia & Khalifa Al Hossani & Naji Al Sayari & Angel Cid-Pastor, 2018. "Analysis of Nonlinear Dynamics of a Quadratic Boost Converter Used for Maximum Power Point Tracking in a Grid-Interlinked PV System," Energies, MDPI, vol. 12(1), pages 1-23, December.
    6. Yoon-Geol Choi & Hyeon-Seok Lee & Bongkoo Kang & Su-Chang Lee & Sang-Jin Yoon, 2019. "Compact Single-Stage Micro-Inverter with Advanced Control Schemes for Photovoltaic Systems," Energies, MDPI, vol. 12(7), pages 1-15, March.
    7. Angelo Lunardi & Luís F. Normandia Lourenço & Enkhtsetseg Munkhchuluun & Lasantha Meegahapola & Alfeu J. Sguarezi Filho, 2022. "Grid-Connected Power Converters: An Overview of Control Strategies for Renewable Energy," Energies, MDPI, vol. 15(11), pages 1-33, June.

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